Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 286158 Luke Durant 1 58.0015 68850 Curtis Cooper 9 56.5769 61956 Patrick Laroche 1 56.4714 50475 Jonathan (Jon) Pace 1 56.2664 40598 Ryan Propper 342 56.0487 9704 Serge Batalov 378.333 54.6175 8492 Edson Smith 1 54.4841 8213 Odd Magnar Strindmo 1 54.4507 5389 Hans-Michael Elvenich 1 54.0294 3262 Steven R. Boone 1 53.5273 3150 Péter Szabolcs 1 53.4922 2764 Tom Greer 123 53.3615 1800 Dr. Martin Nowak 1 52.9330 1756 Anonymous Person(s) 218 52.9081 1668 Dr. James Scott Brown 182 52.8565 1422 Josh Findley 1 52.6968 1232 Jonas Skendelis 1 52.5535 1204 Pavel Atnashev 8 52.5303 1195 Rob Gahan 32.5 52.5233 1113 Piotr Chodzinski 4 52.4523

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.